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Luden [163]
3 years ago
5

Two cubes have surface areas of 72 square feet and 98 square feet. what is the ratio of the volume of the small cube to the volu

me of the large cube?
Mathematics
2 answers:
Paha777 [63]3 years ago
5 0

Answer:

Ratio of the volumes of the cubes = 216 : 343

Step-by-step explanation:

Since surface area of a cube is represented as 6a² where a is the side of a cube.

Let a is one side of large cube and b is the side of smaller one.

Ratio of their surface area = \frac{6a^{2} }{6b^{2}}=\frac{72}{98}

(\frac{a}{b})^{2}=\frac{36}{49}

\frac{a}{b}=\sqrt{\frac{36}{49}}

\frac{a}{b}=\frac{6}{7}

Now ratio of the volumes = \frac{a^{3} }{b^{3}}=(\frac{1}{b})^{3}

Ratio = (\frac{6}{7})^{3}=\frac{216}{343}

Therefore, ratio of the volumes of the cubes = 216 : 343

Serjik [45]3 years ago
3 0
Let's denote the sides of the small and bigger cubes a and b respectively. Then, we can write that 6a^{2}=72, a=2\sqrt{3} and 6b^{2}=98, b=[tex] \frac{7}{sqrt{3}}. The volume of the smaller cube is 2 sqrt{3} ^{3} =  24 sqrt{3}. The volume of the bigger cube is \frac{7}{sqrt{3}}^{3} = \frac{343}{3sqrt{3}}{. We have to find  \frac{24 sqrt{3}}{frac{343}{3sqrt{3}} = 216/343 
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Artyom0805 [142]
<h3>Answer:  -3.71</h3>

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Explanation:

You'll need to use a T table to answer this question. Your stats textbook should have such a table in the back appendix section.

If your textbook doesn't have the proper table, or you don't have your textbook with you, then I recommend searching online for "t table" and you should have tons of free options to choose from.

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2 years ago
In the accompanying diagram of parallelogram ABCD, LaTeX: m\angle A=x+17 m ∠ A = x + 17 and LaTeX: m\angle C=2x-4 m ∠ C = 2 x −
jek_recluse [69]
Answer:
x = 21

Explanation:
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Hope this helps :)

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